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Finding the Fourth Proportional to 180,518.02, 249,136.50 and 105,066.52

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Solution

The fourth proportional to 180,518.02, 249,136.50 and 105,066.52 is: 145,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,518.02 : 249,136.50 = 105,066.52 : x
  2. Step 2: Convert to fraction form
    180,518.02/249,136.50 = 105,066.52/x
  3. Step 3: Cross multiply
    180,518.02x = 249,136.50 × 105,066.52
  4. Step 4: Simplify right side
    180,518.02x = 26,175,905,059.98
  5. Step 5: Solve for x
    x = 26,175,905,059.98/180,518.02
  6. Step 6: Final answer
    x = 145,004.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.